Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, August 30, 2018.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
      July 2018             August 2018           September 2018
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3  4  5  6  7             1  2  3  4                      1
8  9 10 11 12 13 14    5  6  7  8  9 10 11    2  3  4  5  6  7  8
15 16 17 18 19 20 21   12 13 14 15 16 17 18    9 10 11 12 13 14 15
22 23 24 25 26 27 28   19 20 21 22 23 24 25   16 17 18 19 20 21 22
29 30 31               26 27 28 29 30 31      23 24 25 26 27 28 29
30


Thursday, August 30, 2018

11:00 am in 241 Altgeld Hall,Thursday, August 30, 2018

#### Equal sums of two cubes

###### Bruce Reznick (Illinois Math)

Abstract: Ramanujan was fascinated by equal sums of two cubes, as shown in the legendary anecdote about $1729 = 10^3 + 9^3 = 12^3 + 1^3$. He was also interested in the equation $f_1^3 + f_2^3 = f_3^3 + f_4^3$ for polynomials $f_j$ and gave several examples in which the $f_j$'s were quadratic polynomials. We will discuss the complete solution for quadratic complex polynomials, with side trips into elliptic curves and computational algebraic geometry. The simplest such identity is $(x^2 + x y - y^2)^3 + (x^2 - x y - y^2)^3 = 2x^6 -2y^6$. This talk is meant to be accessible to first-year graduate students.

2:00 pm in 241 Altgeld Hall,Thursday, August 30, 2018

#### Organizational Meeting

###### Kyle Pratt (UIUC)

Abstract: We will have a short meeting to draw up a schedule of speakers for the semester. Please sign up if you have a topic in mind! All are welcome, and cookies will be provided.

3:00 pm in 345 Altgeld Hall,Thursday, August 30, 2018

#### Organizational Meeting IRT/AGC

###### Di Francesco, Kedem, Yong

Abstract: Everyone who is interested in the IRT and AGC seminars are invited to attend: Do you want to volunteer to give a talk? Do you have a potential visitor in mind? Do you have topics you would like to see discussed this year? Please come and help shape the schedule for these two seminars for the coming semester.